40 citations · 282 across the 43 of their papers we have counts for
60 papers
On a classical zero-sum invariant II: Disproof of a long-standing conjecture
Alfred Geroldinger, Guoqing Wang, Wenkai Yang
For a nontrivial finite abelian group , let be the smallest integer such that every zero-sum free sequence over of length at least has the following…
On a classical zero-sum invariant
Alfred Geroldinger, Wenkai Yang
Let be a nontrivial, finite abelian group. Then is the smallest integer such that every zero-sum free sequence over of length at least has the foll…
Factorization in Finitely-Presented Monoids
Alfred Geroldinger, Zachary Mesyan
We study arithmetic properties of factorizations of elements into products of generators, in monoids given with explicit presentations. After relating and comparing this perspectiv…
There is no polynomial formula for the catenary and the tame degree of finitely generated monoids
Alfred Geroldinger, Alessio Moscariello
In the last two decades there has been a wealth of results determining the precise value of the catenary degree and the tame degree. Mostly, however, only for very special classes…
On Long-Term Problems in Multiplicative Ideal Theory and Factorization Theory
Alfred Geroldinger, Hwankoo Kim, K. Alan Loper
In this survey article we discuss key open problems which could serve as a guidance for further research directions of multiplicative ideal theory and factorization theory.
On conductor submonoids of factorial monoids
Alfred Geroldinger, Weihao Yan, Qinghai Zhong
We study algebraic and arithmetic properties of submonoids (resp. subrings) of factorial monoids (resp. factorial domains) whose non-invertible elements all lie in the conductor. T…